Precalculus Examples

$\log_{2} (32^{\frac{1}{6}})$

Step 1

Expand $\log_{2} (32^{\frac{1}{6}})$ by moving $\frac{1}{6}$ outside the logarithm.

$\frac{1}{6} \log_{2} (32)$

Step 2

Logarithm base $2$ of $32$ is $5$ .

$\frac{1}{6} \cdot 5$

Step 3

Combine $\frac{1}{6}$ and $5$ .

$\frac{5}{6}$